What is f(1/2)? (1 over 2)

A bank is experimenting with programs to direct bill companies for commercial loans. They are particularly interested in the num

Evgesh-ka [11]

Answer:

The 95% confidence interval for true mean error is (4.57, 4.63).

Step-by-step explanation:

Let X = the number of errors of a billing program.

According to the Central limit theorem if a large sample (n > 30) is drawn from an unknown population then the sampling distribution of the sample mean will follow a Normal distribution with mean ( $\mu_{\bar x}=\mu$ ) and standard deviation ( $\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$ ).

The sample size of the loans is, n = 1000.

The mean is, ${\bar x}=4.6$ .

The standard deviation is, $\sigma_{\bar x}=\frac{0.50}{\sqrt{1000}}=0.016$

The confidence interval for mean is:

$CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}$

The critical value of z for 95% confidence interval is:

$z_{\alpha /2}=z_{0.05/2}=z_{0.025}=1.96$

**Use the z-table for critical values.

Compute the 95% confidence interval for true mean error as follows:

$CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}\\=4.6\pm1.96\times0.016\\=4.6\pm0.03136\\=(4.56864, 4.63136)\\\approx(4.57, 4.63)$

Thus, the 95% confidence interval for true mean error is (4.57, 4.63).

7 0

3 years ago

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Please help!! 20 POINTS!! Give two examples of exponential decay.

Mandarinka [93]

Explanation:

1. Temperature difference (in the absence of additional heat input) will tend to decay toward zero in an exponential way. Usually, heat loss is proportional to temperature difference, meeting the conditions for an exponential decay.

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2. The rate of decay of a radioactive substance is generally proportional to the amount of that substance, meeting the conditions for an exponential decay.

7 0

3 years ago

5/12+8/12 I need help

Ronch [10]

$\frac{13}{12}$ is the answer

Hope this helps

6 0

3 years ago

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What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)

Bogdan [553]

Answer:

A.

Step-by-step explanation:

If its positive then the equation will be also

6 0

3 years ago

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Two cell phone companies have different rate plans. Runfast has monthly charges $10 plus $4 per gig of data. B A &D’s monthl

melomori [17]

BA&D's plan is better for those who use less data. The intersection point of the two plans is (2, 18), which means that both plans cost $18 when you use 2G of data. Anything using more data than that is less expensive with BA&D's plan.

To find the intersection point,
6+6g=10+4g

We cannot have a variable on both sides, so we will subtract 4g from both sides:
6+6g-4g=10+4g-4g
6+2g=10

Subtract 6 from both sides:
6+2g-6=10-6
2g=4

Divide both sides by 2:
2g/2 = 4/2
g = 2

This is the point where the plans cost the same. If we try a number smaller than 2 in both plans,
6+6(1) = 6+6 = 12
10+4(1) = 10+4 = 14

BA&D's plan is less.

6 0

3 years ago